Biography
I am a VIGRE Postdoctoral Research Associate in the Department of Mathematics at the University of Georgia. I earned my Ph.D. in Mathematics in 2009 from the University of Virginia, where I worked under the supervision of Brian Parshall. Prior to graduate school I attended McDaniel College in Westminster, MD, where I majored in Mathematics and Physics.
The picture at the top of this page was taken in Black Rock Mountain State Park in Clayton, GA.
Teaching
In Fall 2011 I am teaching the graduate-level course Math 8080 Lie Algebras. In Spring 2012 I am teaching the upper-level undergraduate course Math 4000 Modern Algebra and Geometry I. A brief description of my teaching philosophy and links to more information about all of the courses I have taught at UGA are available on my teaching page.
Research
My research is in the branch of algebra called representation theory. Specifically, I study the representation theory and cohomology of algebraic groups and related structures, including Lie algebras, finite groups of Lie type, Frobenius kernels, quantized enveloping algebras, quantum groups, and Hopf algebras. A complete list of my published research papers and preprints, as well as a more detailed description of my research interests, is available on my research page.